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Finding the Third Proportional to 264,879 and 579,813

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Solution

The third proportional to 264,879 and 579,813 is: 1,269,195.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,879 : 579,813 = 579,813 : x
  2. Step 2: Convert to fraction form
    264,879/579,813 = 579,813/x
  3. Step 3: Cross multiply
    264,879x = 579,813 × 579,813
  4. Step 4: Simplify right side
    264,879x = 336,183,114,969
  5. Step 5: Solve for x
    x = 336,183,114,969/264,879
  6. Step 6: Final answer
    x = 1,269,195.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.